Question

Solve by completing the square.

s² + 6s - 29 = 0
Write your answers as integers, proper or improper fraction
rounded to the nearest hundredth.
= [
S=
or s =

Answer 1

`s = √(38) - 3 \: \: - √(38) - 3 = 3.16 \: \: - 9.16`

Explanation:

`1. \: a = 1 \\ b = 6 \\ c = - 29 \\ 2. \: s {}^(2) + 6s - 9 - 9 - 29 \\ 3. \: (s + 3) {}^(2) - 9 - 29 \\ 4. \: (s + 3) {}^(2) - 38 \\ 5. \: (s + 3) {}^(2) - 38 = 0 \\ 6. \: (s + 3) {}^(2) = 38 \\ 7. \: s + 3 + - √(38) \\ 8. \: s + 3 = √(38) \\ 9. \: s = √(38) - 3 \\ 10. \: s = - √(38) - 3 \\ 11. \: s = \sqrt{38 - 3 \: - √(38) } - 3 = 3.16 \: - 9.16`